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Finding the Fourth Proportional to 645.20, 966 and 480.32

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Solution

The fourth proportional to 645.20, 966 and 480.32 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 966 = 480.32 : x
  2. Step 2: Convert to fraction form
    645.20/966 = 480.32/x
  3. Step 3: Cross multiply
    645.20x = 966 × 480.32
  4. Step 4: Simplify right side
    645.20x = 463,989.12
  5. Step 5: Solve for x
    x = 463,989.12/645.20
  6. Step 6: Final answer
    x = 719.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.